An inequality is shown.

Question

2x−2<4


Correctly order the steps used to solve the inequality.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1
Step 2
Graph the solution.
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Answer 1

To solve the inequality \( 2x - 2 < 4 \), the steps can be ordered as follows:

Step 1: Add 2 to both sides of the inequality.

\[ 2x - 2 + 2 < 4 + 2 \]

This simplifies to:

\[ 2x < 6 \]

Step 2: Divide both sides by 2.

\[ \frac{2x}{2} < \frac{6}{2} \]

This simplifies to:

\[ x < 3 \]

Graph the Solution: Now you would graph the solution, which is \( x < 3 \) on a number line.

So, the ordered steps look like this:

• Step 1: Add 2 to both sides.
• Step 2: Divide by 2.
• Then graph the solution.